1072656013 has 12 divisors (see below), whose sum is σ = 1267109568. Its totient is φ = 900129360.

The previous prime is 1072655989. The next prime is 1072656023. The reversal of 1072656013 is 3106562701.

It is not a de Polignac number, because 1072656013 - 2¹⁷ = 1072524941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072656023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286645 + ... + 290362.

It is an arithmetic number, because the mean of its divisors is an integer number (105592464).

Almost surely, 2^1072656013 is an apocalyptic number.

1072656013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1072656013 is a deficient number, since it is larger than the sum of its proper divisors (194453555).

1072656013 is a wasteful number, since it uses less digits than its factorization.

1072656013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577044 (or 577031 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 1072656013 is about 32751.4276482721. The cubic root of 1072656013 is about 1023.6547135636.

The spelling of 1072656013 in words is "one billion, seventy-two million, six hundred fifty-six thousand, thirteen".