10135312515 has 128 divisors (see below), whose sum is σ = 19497369600. Its totient is φ = 5045846400.

The previous prime is 10135312513. The next prime is 10135312543. The reversal of 10135312515 is 51521353101.

10135312515 is a `hidden beast` number, since 1 + 0 + 135 + 3 + 12 + 515 = 666.

It is not a de Polignac number, because 10135312515 - 2¹ = 10135312513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10135312511) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9830050 + ... + 9831080.

It is an arithmetic number, because the mean of its divisors is an integer number (152323200).

Almost surely, 2^10135312515 is an apocalyptic number.

10135312515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10135312515 is a deficient number, since it is larger than the sum of its proper divisors (9362057085).

10135312515 is an equidigital number, since it uses as much as digits as its factorization.

10135312515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

Adding to 10135312515 its reverse (51521353101), we get a palindrome (61656665616).

The spelling of 10135312515 in words is "ten billion, one hundred thirty-five million, three hundred twelve thousand, five hundred fifteen".