10525564413 has 192 divisors, whose sum is σ = 20684160000. Its totient is φ = 5234761728.

The previous prime is 10525564411. The next prime is 10525564421. The reversal of 10525564413 is 31446552501.

10525564413 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 5 + 5 + 644 + 1 + 3 = 666.

It is not a de Polignac number, because 10525564413 - 2¹ = 10525564411 is a prime.

It is a super-2 number, since 2×10525564413² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10525564411) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23442013 + ... + 23442461.

It is an arithmetic number, because the mean of its divisors is an integer number (107730000).

Almost surely, 2^10525564413 is an apocalyptic number.

10525564413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10525564413 is a deficient number, since it is larger than the sum of its proper divisors (10158595587).

10525564413 is a wasteful number, since it uses less digits than its factorization.

10525564413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 10525564413 in words is "ten billion, five hundred twenty-five million, five hundred sixty-four thousand, four hundred thirteen".