10525565610 has 96 divisors (see below), whose sum is σ = 31378419072. Its totient is φ = 2397962880.

The previous prime is 10525565593. The next prime is 10525565627. The reversal of 10525565610 is 1656552501.

10525565610 is a `hidden beast` number, since 1 + 0 + 52 + 556 + 56 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10525565593) and next prime (10525565627).

It is a super-2 number, since 2×10525565610² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166200 + ... + 220620.

It is an arithmetic number, because the mean of its divisors is an integer number (326858532).

Almost surely, 2^10525565610 is an apocalyptic number.

10525565610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10525565610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15689209536).

10525565610 is an abundant number, since it is smaller than the sum of its proper divisors (20852853462).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10525565610 is a wasteful number, since it uses less digits than its factorization.

10525565610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54748 (or 54745 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 10525565610 in words is "ten billion, five hundred twenty-five million, five hundred sixty-five thousand, six hundred ten".