31007985750253 has 2 divisors, whose sum is σ = 31007985750254. Its totient is φ = 31007985750252.

The previous prime is 31007985750233. The next prime is 31007985750263. The reversal of 31007985750253 is 35205758970013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28860242741929 + 2147743008324 = 5372173^2 + 1465518^2 .

It is a cyclic number.

It is not a de Polignac number, because 31007985750253 - 2²⁵ = 31007952195821 is a prime.

It is a super-2 number, since 2×31007985750253² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31007985750194 and 31007985750203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31007985750233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15503992875126 + 15503992875127.

It is an arithmetic number, because the mean of its divisors is an integer number (15503992875127).

Almost surely, 2^{31007985750253} is an apocalyptic number.

It is an amenable number.

31007985750253 is a deficient number, since it is larger than the sum of its proper divisors (1).

31007985750253 is an equidigital number, since it uses as much as digits as its factorization.

31007985750253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7938000, while the sum is 55.

The spelling of 31007985750253 in words is "thirty-one trillion, seven billion, nine hundred eighty-five million, seven hundred fifty thousand, two hundred fifty-three".