1072710579213 has 192 divisors, whose sum is σ = 1967982016000. Its totient is φ = 562795309440.

The previous prime is 1072710579181. The next prime is 1072710579257. The reversal of 1072710579213 is 3129750172701.

1072710579213 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 71 + 0 + 579 + 2 + 1 + 3 = 666.

It is not a de Polignac number, because 1072710579213 - 2⁵ = 1072710579181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072710579713) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1878652218 + ... + 1878652788.

Almost surely, 2^{1072710579213} is an apocalyptic number.

1072710579213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1072710579213 is a deficient number, since it is larger than the sum of its proper divisors (895271436787).

1072710579213 is an equidigital number, since it uses as much as digits as its factorization.

1072710579213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

The spelling of 1072710579213 in words is "one trillion, seventy-two billion, seven hundred ten million, five hundred seventy-nine thousand, two hundred thirteen".