1249265052 has 96 divisors (see below), whose sum is σ = 3715891200. Its totient is φ = 355548096.

The previous prime is 1249265047. The next prime is 1249265053. The reversal of 1249265052 is 2505629421.

1249265052 is a `hidden beast` number, since 124 + 9 + 26 + 505 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1249264998 and 1249265016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1249265053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200293 + ... + 206435.

It is an arithmetic number, because the mean of its divisors is an integer number (38707200).

Almost surely, 2^1249265052 is an apocalyptic number.

1249265052 is a gapful number since it is divisible by the number (12) 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 1249265052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857945600).

1249265052 is an abundant number, since it is smaller than the sum of its proper divisors (2466626148).

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

1249265052 is a wasteful number, since it uses less digits than its factorization.

1249265052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6432 (or 6424 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1249265052 is about 35344.9437968148. The cubic root of 1249265052 is about 1077.0061839637.

The spelling of 1249265052 in words is "one billion, two hundred forty-nine million, two hundred sixty-five thousand, fifty-two".