513972105075 has 576 divisors, whose sum is σ = 1208575979520. Its totient is φ = 204913152000.

The previous prime is 513972105071. The next prime is 513972105077. The reversal of 513972105075 is 570501279315.

513972105075 is a `hidden beast` number, since 5 + 139 + 7 + 2 + 1 + 0 + 507 + 5 = 666.

It is not a de Polignac number, because 513972105075 - 2² = 513972105071 is a prime.

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 513972105075.

It is not an unprimeable number, because it can be changed into a prime (513972105071) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 701189409 + ... + 701190141.

Almost surely, 2^513972105075 is an apocalyptic number.

513972105075 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513972105075 is an abundant number, since it is smaller than the sum of its proper divisors (694603874445).

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

513972105075 is a wasteful number, since it uses less digits than its factorization.

513972105075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 45.

The spelling of 513972105075 in words is "five hundred thirteen billion, nine hundred seventy-two million, one hundred five thousand, seventy-five".