10157413761 has 12 divisors (see below), whose sum is σ = 16005621840. Its totient is φ = 6156008280.

The previous prime is 10157413751. The next prime is 10157413769. The reversal of 10157413761 is 16731475101.

It is a happy number.

10157413761 is a `hidden beast` number, since 1 + 0 + 1 + 574 + 13 + 76 + 1 = 666.

It is not a de Polignac number, because 10157413761 - 2⁵ = 10157413729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10157413769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51299971 + ... + 51300168.

It is an arithmetic number, because the mean of its divisors is an integer number (1333801820).

Almost surely, 2^10157413761 is an apocalyptic number.

10157413761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10157413761 is a deficient number, since it is larger than the sum of its proper divisors (5848208079).

10157413761 is a wasteful number, since it uses less digits than its factorization.

10157413761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102600156 (or 102600153 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

Adding to 10157413761 its reverse (16731475101), we get a palindrome (26888888862).

The spelling of 10157413761 in words is "ten billion, one hundred fifty-seven million, four hundred thirteen thousand, seven hundred sixty-one".