7564167585225 has 576 divisors, whose sum is σ = 15590087884800. Its totient is φ = 3487131648000.

The previous prime is 7564167585209. The next prime is 7564167585241. The reversal of 7564167585225 is 5225857614657.

7564167585225 is a `hidden beast` number, since 7 + 5 + 6 + 41 + 6 + 7 + 585 + 2 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (7564167585209) and next prime (7564167585241).

It is not a de Polignac number, because 7564167585225 - 2⁴ = 7564167585209 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 35849135370 + ... + 35849135580.

It is an arithmetic number, because the mean of its divisors is an integer number (27066124800).

Almost surely, 2^{7564167585225} is an apocalyptic number.

7564167585225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7564167585225 is an abundant number, since it is smaller than the sum of its proper divisors (8025920299575).

7564167585225 is a wasteful number, since it uses less digits than its factorization.

7564167585225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 478 counting only the distinct ones).

The product of its digits is 141120000, while the sum is 63.

The spelling of 7564167585225 in words is "seven trillion, five hundred sixty-four billion, one hundred sixty-seven million, five hundred eighty-five thousand, two hundred twenty-five".