10032137696025 has 81 divisors (see below), whose sum is σ = 19089366280023. Its totient is φ = 5035334284800.

The previous prime is 10032137695927. The next prime is 10032137696027. The reversal of 10032137696025 is 52069673123001.

The square root of 10032137696025 is 3167355.

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

10032137696025 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 2 + 1 + 37 + 6 + 9 + 602 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 6859318041 + 10025278377984 = 82821^2 + 3166272^2 .

It is not a de Polignac number, because 10032137696025 - 2²⁵ = 10032104141593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10032137696027) 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, 807669315 + ... + 807681735.

Almost surely, 2^{10032137696025} is an apocalyptic number.

10032137696025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10032137696025 is the 3167355-th square number.

10032137696025 is the 1583678-th centered octagonal number.

It is an amenable number.

10032137696025 is a deficient number, since it is larger than the sum of its proper divisors (9057228583998).

10032137696025 is an frugal number, since it uses more digits than its factorization.

10032137696025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24892 (or 12446 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 10032137696025 in words is "ten trillion, thirty-two billion, one hundred thirty-seven million, six hundred ninety-six thousand, twenty-five".