10617392132356 has 81 divisors (see below), whose sum is σ = 19327217872053. Its totient is φ = 5103489668160.

The previous prime is 10617392132317. The next prime is 10617392132359. The reversal of 10617392132356 is 65323129371601.

The square root of 10617392132356 is 3258434.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 511605450756 + 10105786681600 = 715266^2 + 3178960^2 .

It is a super-2 number, since 2×10617392132356² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10617392132359) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21108135201 + ... + 21108135703.

Almost surely, 2^{10617392132356} is an apocalyptic number.

10617392132356 is the 3258434-th square number.

It is an amenable number.

10617392132356 is a deficient number, since it is larger than the sum of its proper divisors (8709825739697).

10617392132356 is an frugal number, since it uses more digits than its factorization.

10617392132356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

Multiplying 10617392132356 by its sum of digits (49), we get a square (520252214485444 = 22809038²).

The spelling of 10617392132356 in words is "ten trillion, six hundred seventeen billion, three hundred ninety-two million, one hundred thirty-two thousand, three hundred fifty-six".