34561532313 has 48 divisors (see below), whose sum is σ = 62259664896. Its totient is φ = 17948567520.

The previous prime is 34561532311. The next prime is 34561532339. The reversal of 34561532313 is 31323516543.

34561532313 is a `hidden beast` number, since 3 + 4 + 5 + 615 + 3 + 2 + 31 + 3 = 666.

It is not a de Polignac number, because 34561532313 - 2¹ = 34561532311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34561532311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3309406 + ... + 3319832.

It is an arithmetic number, because the mean of its divisors is an integer number (1297076352).

Almost surely, 2^34561532313 is an apocalyptic number.

34561532313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34561532313 is a deficient number, since it is larger than the sum of its proper divisors (27698132583).

34561532313 is a wasteful number, since it uses less digits than its factorization.

34561532313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15234 (or 15231 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The spelling of 34561532313 in words is "thirty-four billion, five hundred sixty-one million, five hundred thirty-two thousand, three hundred thirteen".