10157517135 has 24 divisors (see below), whose sum is σ = 18533015280. Its totient is φ = 5132218752.

The previous prime is 10157517131. The next prime is 10157517143. The reversal of 10157517135 is 53171575101.

10157517135 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 7 + 517 + 135 = 666.

It is not a de Polignac number, because 10157517135 - 2² = 10157517131 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10157517135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10157517131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5939214 + ... + 5940923.

It is an arithmetic number, because the mean of its divisors is an integer number (772208970).

Almost surely, 2^10157517135 is an apocalyptic number.

10157517135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10157517135 is a deficient number, since it is larger than the sum of its proper divisors (8375498145).

10157517135 is a wasteful number, since it uses less digits than its factorization.

10157517135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11880167 (or 11880164 counting only the distinct ones).

The product of its (nonzero) digits is 18375, while the sum is 36.

The spelling of 10157517135 in words is "ten billion, one hundred fifty-seven million, five hundred seventeen thousand, one hundred thirty-five".