10632561525 has 48 divisors (see below), whose sum is σ = 19551486720. Its totient is φ = 5665161600.

The previous prime is 10632561469. The next prime is 10632561551. The reversal of 10632561525 is 52516523601.

10632561525 is a `hidden beast` number, since 1 + 0 + 6 + 32 + 5 + 615 + 2 + 5 = 666.

It is not a de Polignac number, because 10632561525 - 2⁶ = 10632561461 is a prime.

It is a super-2 number, since 2×10632561525² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10632561525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 737385 + ... + 751665.

It is an arithmetic number, because the mean of its divisors is an integer number (407322640).

Almost surely, 2^10632561525 is an apocalyptic number.

10632561525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10632561525 is a deficient number, since it is larger than the sum of its proper divisors (8918925195).

10632561525 is a wasteful number, since it uses less digits than its factorization.

10632561525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15403 (or 15392 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 10632561525 in words is "ten billion, six hundred thirty-two million, five hundred sixty-one thousand, five hundred twenty-five".