61605061610625 has 60 divisors (see below), whose sum is σ = 119749287902244. Its totient is φ = 30328645680000.

The previous prime is 61605061610621. The next prime is 61605061610647. The reversal of 61605061610625 is 52601616050616.

61605061610625 is a `hidden beast` number, since 6 + 1 + 6 + 0 + 5 + 0 + 6 + 1 + 6 + 10 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 60347308332609 + 1257753278016 = 7768353^2 + 1121496^2 .

It is not a de Polignac number, because 61605061610625 - 2² = 61605061610621 is a prime.

It is a super-2 number, since 2×61605061610625² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (61605061610621) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 421158066 + ... + 421304315.

Almost surely, 2^{61605061610625} is an apocalyptic number.

61605061610625 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

61605061610625 is a deficient number, since it is larger than the sum of its proper divisors (58144226291619).

61605061610625 is a wasteful number, since it uses less digits than its factorization.

61605061610625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842462420 (or 842462402 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 61605061610625 in words is "sixty-one trillion, six hundred five billion, sixty-one million, six hundred ten thousand, six hundred twenty-five".