31752000013 has 2 divisors, whose sum is σ = 31752000014. Its totient is φ = 31752000012.

The previous prime is 31751999987. The next prime is 31752000023. The reversal of 31752000013 is 31000025713.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28736013289 + 3015986724 = 169517^2 + 54918^2 .

It is a cyclic number.

It is not a de Polignac number, because 31752000013 - 2⁹ = 31751999501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31752000023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15876000006 + 15876000007.

It is an arithmetic number, because the mean of its divisors is an integer number (15876000007).

Almost surely, 2^31752000013 is an apocalyptic number.

It is an amenable number.

31752000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31752000013 is an equidigital number, since it uses as much as digits as its factorization.

31752000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 22.

Adding to 31752000013 its reverse (31000025713), we get a palindrome (62752025726).

The spelling of 31752000013 in words is "thirty-one billion, seven hundred fifty-two million, thirteen", and thus it is an aban number.