31385038053 has 64 divisors (see below), whose sum is σ = 46271554560. Its totient is φ = 18842419200.

The previous prime is 31385037997. The next prime is 31385038093. The reversal of 31385038053 is 35083058313.

It is not a de Polignac number, because 31385038053 - 2³² = 27090070757 is a prime.

It is a super-2 number, since 2×31385038053² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31385038093) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25494948 + ... + 25496178.

It is an arithmetic number, because the mean of its divisors is an integer number (722993040).

Almost surely, 2^31385038053 is an apocalyptic number.

It is an amenable number.

31385038053 is a deficient number, since it is larger than the sum of its proper divisors (14886516507).

31385038053 is a wasteful number, since it uses less digits than its factorization.

31385038053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518.

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 31385038053 in words is "thirty-one billion, three hundred eighty-five million, thirty-eight thousand, fifty-three".