10052523131 has 16 divisors (see below), whose sum is σ = 11777364480. Its totient is φ = 8400179520.

The previous prime is 10052523071. The next prime is 10052523133. The reversal of 10052523131 is 13132525001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10052523131 - 2¹⁴ = 10052506747 is a prime.

It is a super-2 number, since 2×10052523131² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10052523097 and 10052523106.

It is not an unprimeable number, because it can be changed into a prime (10052523133) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 406730 + ... + 430736.

It is an arithmetic number, because the mean of its divisors is an integer number (736085280).

Almost surely, 2^10052523131 is an apocalyptic number.

10052523131 is a deficient number, since it is larger than the sum of its proper divisors (1724841349).

10052523131 is a wasteful number, since it uses less digits than its factorization.

10052523131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25514.

The product of its (nonzero) digits is 900, while the sum is 23.

The spelling of 10052523131 in words is "ten billion, fifty-two million, five hundred twenty-three thousand, one hundred thirty-one".