61299175525641 has 81 divisors (see below), whose sum is σ = 92667895763079. Its totient is φ = 40546913235264.

The previous prime is 61299175525607. The next prime is 61299175525673. The reversal of 61299175525641 is 14652557199216.

The square root of 61299175525641 is 7829379.

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

61299175525641 is a `hidden beast` number, since 6 + 1 + 2 + 9 + 9 + 17 + 5 + 52 + 564 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37692170966025 + 23607004559616 = 6139395^2 + 4858704^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 61299175525641 - 2¹⁵ = 61299175492873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61299175525141) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 103371290641 + ... + 103371291233.

Almost surely, 2^{61299175525641} is an apocalyptic number.

61299175525641 is the 7829379-th square number.

61299175525641 is the 3914690-th centered octagonal number.

It is an amenable number.

61299175525641 is a deficient number, since it is larger than the sum of its proper divisors (31368720237438).

61299175525641 is an frugal number, since it uses more digits than its factorization.

61299175525641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 759 counting only the distinct ones).

The product of its digits is 40824000, while the sum is 63.

The spelling of 61299175525641 in words is "sixty-one trillion, two hundred ninety-nine billion, one hundred seventy-five million, five hundred twenty-five thousand, six hundred forty-one".