507053083217021 has 48 divisors (see below), whose sum is σ = 601670625091200. Its totient is φ = 425679926474880.

The previous prime is 507053083217011. The next prime is 507053083217033. The reversal of 507053083217021 is 120712380350705.

It is not a de Polignac number, because 507053083217021 - 2¹⁸ = 507053082954877 is a prime.

It is a super-2 number, since 2×507053083217021² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507053083217011) 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, 1112641010 + ... + 1113096636.

It is an arithmetic number, because the mean of its divisors is an integer number (12534804689400).

Almost surely, 2^{507053083217021} is an apocalyptic number.

It is an amenable number.

507053083217021 is a deficient number, since it is larger than the sum of its proper divisors (94617541874179).

507053083217021 is a wasteful number, since it uses less digits than its factorization.

507053083217021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469490 (or 469479 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 44.

The spelling of 507053083217021 in words is "five hundred seven trillion, fifty-three billion, eighty-three million, two hundred seventeen thousand, twenty-one".