1413008100 has 243 divisors, whose sum is σ = 5181040137. Its totient is φ = 321168960.

The previous prime is 1413008053. The next prime is 1413008101. The reversal of 1413008100 is 18003141.

The square root of 1413008100 is 37590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 508682916 + 904325184 = 22554^2 + 30072^2 .

It is a super-2 number, since 2×1413008100² = 3993183781331220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1413008101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7893811 + ... + 7893989.

Almost surely, 2^1413008100 is an apocalyptic number.

1413008100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1413008100 is the 37590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413008100

1413008100 is an abundant number, since it is smaller than the sum of its proper divisors (3768032037).

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

1413008100 is a wasteful number, since it uses less digits than its factorization.

1413008100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The cubic root of 1413008100 is about 1122.1430322769.

The spelling of 1413008100 in words is "one billion, four hundred thirteen million, eight thousand, one hundred".