61117136885025 has 243 divisors, whose sum is σ = 121253753945259. Its totient is φ = 29413733955840.

The previous prime is 61117136885011. The next prime is 61117136885039. The reversal of 61117136885025 is 52058863171116.

The square root of 61117136885025 is 7817745.

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

61117136885025 is a `hidden beast` number, since 6 + 1 + 1 + 1 + 71 + 3 + 68 + 8 + 502 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (61117136885011) and next prime (61117136885039).

It can be written as a sum of positive squares in 13 ways, for example, as 56126363013009 + 4990773872016 = 7491753^2 + 2234004^2 .

It is not a de Polignac number, because 61117136885025 - 2²¹ = 61117134787873 is a prime.

It is a super-3 number, since 3×61117136885025³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 71649632499 + ... + 71649633351.

Almost surely, 2^{61117136885025} is an apocalyptic number.

61117136885025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

61117136885025 is the 7817745-th square number.

61117136885025 is the 3908873-rd centered octagonal number.

It is an amenable number.

61117136885025 is a deficient number, since it is larger than the sum of its proper divisors (60136617060234).

61117136885025 is an equidigital number, since it uses as much as digits as its factorization.

61117136885025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 61117136885025 in words is "sixty-one trillion, one hundred seventeen billion, one hundred thirty-six million, eight hundred eighty-five thousand, twenty-five".