10131753519 has 12 divisors (see below), whose sum is σ = 15139402200. Its totient is φ = 6521588304.

The previous prime is 10131753509. The next prime is 10131753617. The reversal of 10131753519 is 91535713101.

10131753519 is a `hidden beast` number, since 1 + 0 + 131 + 7 + 5 + 3 + 519 = 666.

It is not a de Polignac number, because 10131753519 - 2¹⁹ = 10131229231 is a prime.

It is a super-2 number, since 2×10131753519² (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 (10131753509) 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 11 ways as a sum of consecutive naturals, for example, 19409229 + ... + 19409750.

It is an arithmetic number, because the mean of its divisors is an integer number (1261616850).

Almost surely, 2^10131753519 is an apocalyptic number.

10131753519 is a deficient number, since it is larger than the sum of its proper divisors (5007648681).

10131753519 is a wasteful number, since it uses less digits than its factorization.

10131753519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38819014 (or 38819011 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 36.

The spelling of 10131753519 in words is "ten billion, one hundred thirty-one million, seven hundred fifty-three thousand, five hundred nineteen".