10131762520 has 128 divisors (see below), whose sum is σ = 25245380160. Its totient is φ = 3628892160.

The previous prime is 10131762517. The next prime is 10131762533. The reversal of 10131762520 is 2526713101.

It is a happy number.

It is a super-2 number, since 2×10131762520² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 11821932 + ... + 11822788.

Almost surely, 2^10131762520 is an apocalyptic number.

10131762520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131762520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12622690080).

10131762520 is an abundant number, since it is smaller than the sum of its proper divisors (15113617640).

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

10131762520 is a wasteful number, since it uses less digits than its factorization.

10131762520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 10131762520 in words is "ten billion, one hundred thirty-one million, seven hundred sixty-two thousand, five hundred twenty".