946135563025 has 27 divisors (see below), whose sum is σ = 1179775816369. Its totient is φ = 752694735680.

The previous prime is 946135562969. The next prime is 946135563089. The reversal of 946135563025 is 520365531649.

The square root of 946135563025 is 972695.

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

It can be written as a sum of positive squares in 4 ways, for example, as 123319666561 + 822815896464 = 351169^2 + 907092^2 .

It is not a de Polignac number, because 946135563025 - 2²⁷ = 946001345297 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 946135563025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1104008397 + ... + 1104009253.

Almost surely, 2^946135563025 is an apocalyptic number.

946135563025 is the 972695-th square number.

946135563025 is the 486348-th centered octagonal number.

It is an amenable number.

946135563025 is a deficient number, since it is larger than the sum of its proper divisors (233640253344).

946135563025 is an frugal number, since it uses more digits than its factorization.

946135563025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 49.

Multiplying 946135563025 by its sum of digits (49), we get a square (46360642588225 = 6808865²).

The spelling of 946135563025 in words is "nine hundred forty-six billion, one hundred thirty-five million, five hundred sixty-three thousand, twenty-five".