10572980625 has 75 divisors (see below), whose sum is σ = 19779720807. Its totient is φ = 5626584000.

The previous prime is 10572980581. The next prime is 10572980633. The reversal of 10572980625 is 52608927501.

The square root of 10572980625 is 102825.

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

10572980625 is a `hidden beast` number, since 10 + 5 + 7 + 2 + 9 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 3976941969 + 6596038656 = 63063^2 + 81216^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 10572980625 - 2²¹ = 10570883473 is a prime.

It is a super-2 number, since 2×10572980625² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 23135397 + ... + 23135853.

Almost surely, 2^10572980625 is an apocalyptic number.

10572980625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10572980625 is the 102825-th square number.

10572980625 is the 51413-rd centered octagonal number.

It is an amenable number.

10572980625 is a deficient number, since it is larger than the sum of its proper divisors (9206740182).

10572980625 is an frugal number, since it uses more digits than its factorization.

10572980625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 10572980625 in words is "ten billion, five hundred seventy-two million, nine hundred eighty thousand, six hundred twenty-five".