925713379600 has 135 divisors (see below), whose sum is σ = 2258336760303. Its totient is φ = 364658757120.

The previous prime is 925713379597. The next prime is 925713379663. The reversal of 925713379600 is 6973317529.

The square root of 925713379600 is 962140.

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 5065453584 + 920647926016 = 71172^2 + 959504^2 .

It is a super-2 number, since 2×925713379600² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1404724071 + ... + 1404724729.

Almost surely, 2^925713379600 is an apocalyptic number.

925713379600 is the 962140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 925713379600

925713379600 is an abundant number, since it is smaller than the sum of its proper divisors (1332623380703).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

925713379600 is an frugal number, since it uses more digits than its factorization.

925713379600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 52.

The spelling of 925713379600 in words is "nine hundred twenty-five billion, seven hundred thirteen million, three hundred seventy-nine thousand, six hundred".