10513853955 has 144 divisors (see below), whose sum is σ = 21476669760. Its totient is φ = 4742115840.

The previous prime is 10513853929. The next prime is 10513853957. The reversal of 10513853955 is 55935831501.

10513853955 is a `hidden beast` number, since 1 + 0 + 513 + 85 + 3 + 9 + 55 = 666.

It is not a de Polignac number, because 10513853955 - 2¹² = 10513849859 is a prime.

It is a super-2 number, since 2×10513853955² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10513853955.

It is not an unprimeable number, because it can be changed into a prime (10513853957) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4632561 + ... + 4634829.

It is an arithmetic number, because the mean of its divisors is an integer number (149143540).

Almost surely, 2^10513853955 is an apocalyptic number.

10513853955 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10513853955 is an abundant number, since it is smaller than the sum of its proper divisors (10962815805).

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

10513853955 is a wasteful number, since it uses less digits than its factorization.

10513853955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 45.

It can be divided in two parts, 10513 and 853955, that added together give a palindrome (864468).

The spelling of 10513853955 in words is "ten billion, five hundred thirteen million, eight hundred fifty-three thousand, nine hundred fifty-five".