95249390625 has 63 divisors (see below), whose sum is σ = 172185081159. Its totient is φ = 50737950000.

The previous prime is 95249390617. The next prime is 95249390633. The reversal of 95249390625 is 52609394259.

It is a happy number.

The square root of 95249390625 is 308625.

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

95249390625 is a `hidden beast` number, since 9 + 5 + 2 + 4 + 9 + 3 + 9 + 0 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (95249390617) and next prime (95249390633).

It can be written as a sum of positive squares in 3 ways, for example, as 83447610129 + 11801780496 = 288873^2 + 108636^2 .

It is not a de Polignac number, because 95249390625 - 2³ = 95249390617 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 115733964 + ... + 115734786.

Almost surely, 2^95249390625 is an apocalyptic number.

95249390625 is the 308625-th square number.

95249390625 is the 154313-rd centered octagonal number.

It is an amenable number.

95249390625 is a deficient number, since it is larger than the sum of its proper divisors (76935690534).

95249390625 is an frugal number, since it uses more digits than its factorization.

95249390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 95249390625 in words is "ninety-five billion, two hundred forty-nine million, three hundred ninety thousand, six hundred twenty-five".