10077258213 has 24 divisors (see below), whose sum is σ = 16116331296. Its totient is φ = 6016269600.

The previous prime is 10077258211. The next prime is 10077258241. The reversal of 10077258213 is 31285277001.

10077258213 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 72 + 582 + 1 + 3 = 666.

It is not a de Polignac number, because 10077258213 - 2¹ = 10077258211 is a prime.

It is a super-2 number, since 2×10077258213² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10077258211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 752998 + ... + 766263.

It is an arithmetic number, because the mean of its divisors is an integer number (671513804).

Almost surely, 2^10077258213 is an apocalyptic number.

It is an amenable number.

10077258213 is a deficient number, since it is larger than the sum of its proper divisors (6039073083).

10077258213 is a wasteful number, since it uses less digits than its factorization.

10077258213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519345 (or 1519342 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 10077258213 in words is "ten billion, seventy-seven million, two hundred fifty-eight thousand, two hundred thirteen".