30713964516 has 27 divisors (see below), whose sum is σ = 77640735081. Its totient is φ = 10237637664.

The previous prime is 30713964511. The next prime is 30713964551. The reversal of 30713964516 is 61546931703.

It is a happy number.

The square root of 30713964516 is 175254.

It is a perfect power (a square), and thus also a powerful number.

30713964516 is a `hidden beast` number, since 3 + 0 + 71 + 3 + 9 + 64 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12779398116 + 17934566400 = 113046^2 + 133920^2 .

It is a super-2 number, since 2×30713964516² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30713964511) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1036920 + ... + 1066128.

Almost surely, 2^30713964516 is an apocalyptic number.

30713964516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30713964516 is the 175254-th square number.

It is an amenable number.

30713964516 is an abundant number, since it is smaller than the sum of its proper divisors (46926770565).

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

30713964516 is an frugal number, since it uses more digits than its factorization.

30713964516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58428 (or 29214 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 30713964516 in words is "thirty billion, seven hundred thirteen million, nine hundred sixty-four thousand, five hundred sixteen".