39513104543025 has 81 divisors (see below), whose sum is σ = 70991740683201. Its totient is φ = 21008533366080.

The previous prime is 39513104542937. The next prime is 39513104543083. The reversal of 39513104543025 is 52034540131593.

The square root of 39513104543025 is 6285945.

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

39513104543025 is a `hidden beast` number, since 3 + 9 + 51 + 31 + 0 + 4 + 543 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11385016440561 + 28128088102464 = 3374169^2 + 5303592^2 .

It is not a de Polignac number, because 39513104543025 - 2²⁵ = 39513070988593 is a prime.

It is a super-2 number, since 2×39513104543025² (a number of 28 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 80 ways as a sum of consecutive naturals, for example, 58364998987 + ... + 58364999663.

Almost surely, 2^{39513104543025} is an apocalyptic number.

39513104543025 is the 6285945-th square number.

39513104543025 is the 3142973-rd centered octagonal number.

It is an amenable number.

39513104543025 is a deficient number, since it is larger than the sum of its proper divisors (31478636140176).

39513104543025 is an frugal number, since it uses more digits than its factorization.

39513104543025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 39513104543025 in words is "thirty-nine trillion, five hundred thirteen billion, one hundred four million, five hundred forty-three thousand, twenty-five".