131516553735 has 48 divisors (see below), whose sum is σ = 263057493504. Its totient is φ = 59538131136.

The previous prime is 131516553647. The next prime is 131516553767. The reversal of 131516553735 is 537355615131.

131516553735 is a `hidden beast` number, since 1 + 3 + 1 + 51 + 65 + 537 + 3 + 5 = 666.

It is not a de Polignac number, because 131516553735 - 2¹⁰ = 131516552711 is a prime.

It is a super-2 number, since 2×131516553735² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1994317 + ... + 2059206.

It is an arithmetic number, because the mean of its divisors is an integer number (5480364448).

Almost surely, 2^131516553735 is an apocalyptic number.

131516553735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131516553735 is an abundant number, since it is smaller than the sum of its proper divisors (131540939769).

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

131516553735 is a wasteful number, since it uses less digits than its factorization.

131516553735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4053644 (or 4053641 counting only the distinct ones).

The product of its digits is 708750, while the sum is 45.

It can be divided in two parts, 1315165 and 53735, that added together give a square (1368900 = 1170²).

The spelling of 131516553735 in words is "one hundred thirty-one billion, five hundred sixteen million, five hundred fifty-three thousand, seven hundred thirty-five".