101617500625 has 45 divisors (see below), whose sum is σ = 130573717879. Its totient is φ = 79056200000.

The previous prime is 101617500583. The next prime is 101617500637. The reversal of 101617500625 is 526005716101.

The square root of 101617500625 is 318775.

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

It can be written as a sum of positive squares in 7 ways, for example, as 101221331409 + 396169216 = 318153^2 + 19904^2 .

It is not a de Polignac number, because 101617500625 - 2¹³ = 101617492433 is a prime.

It is a super-2 number, since 2×101617500625² (a number of 23 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 44 ways as a sum of consecutive naturals, for example, 326744220 + ... + 326744530.

Almost surely, 2^101617500625 is an apocalyptic number.

101617500625 is the 318775-th square number.

101617500625 is the 159388-th centered octagonal number.

It is an amenable number.

101617500625 is a deficient number, since it is larger than the sum of its proper divisors (28956217254).

101617500625 is an frugal number, since it uses more digits than its factorization.

101617500625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

The spelling of 101617500625 in words is "one hundred one billion, six hundred seventeen million, five hundred thousand, six hundred twenty-five".