5451293952 has 576 divisors, whose sum is σ = 19046809600. Its totient is φ = 1522851840.

The previous prime is 5451293951. The next prime is 5451294061. The reversal of 5451293952 is 2593921545.

5451293952 is a `hidden beast` number, since 54 + 512 + 9 + 39 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×5451293952² = 59433211502223556608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5451293898 and 5451293907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5451293951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52925133 + ... + 52925235.

Almost surely, 2^5451293952 is an apocalyptic number.

5451293952 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5451293952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9523404800).

5451293952 is an abundant number, since it is smaller than the sum of its proper divisors (13595515648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5451293952 is a wasteful number, since it uses less digits than its factorization.

5451293952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 5451293952 is about 73832.8785298257. The cubic root of 5451293952 is about 1759.9481251928.

It can be divided in two parts, 545129 and 3952, that added together give a square (549081 = 741²).

The spelling of 5451293952 in words is "five billion, four hundred fifty-one million, two hundred ninety-three thousand, nine hundred fifty-two".