9947558300625 has 135 divisors (see below), whose sum is σ = 19740958634397. Its totient is φ = 4821796980000.

The previous prime is 9947558300567. The next prime is 9947558300651. The reversal of 9947558300625 is 5260038557499.

The square root of 9947558300625 is 3153975.

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

9947558300625 is a `hidden beast` number, since 9 + 9 + 47 + 5 + 583 + 0 + 0 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 779888570769 + 9167669729856 = 883113^2 + 3027816^2 .

It is not a de Polignac number, because 9947558300625 - 2²³ = 9947549912017 is a prime.

It is a super-2 number, since 2×9947558300625² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2602027464 + ... + 2602031286.

Almost surely, 2^{9947558300625} is an apocalyptic number.

9947558300625 is the 3153975-th square number.

9947558300625 is the 1576988-th centered octagonal number.

It is an amenable number.

9947558300625 is a deficient number, since it is larger than the sum of its proper divisors (9793400333772).

9947558300625 is an frugal number, since it uses more digits than its factorization.

9947558300625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7694 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 9947558300625 in words is "nine trillion, nine hundred forty-seven billion, five hundred fifty-eight million, three hundred thousand, six hundred twenty-five".