61725707878041 has 27 divisors (see below), whose sum is σ = 89269696287733. Its totient is φ = 41099608478040.

The previous prime is 61725707878039. The next prime is 61725707878061. The reversal of 61725707878041 is 14087870752716.

The square root of 61725707878041 is 7856571.

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

61725707878041 is a `hidden beast` number, since 6 + 17 + 2 + 570 + 7 + 8 + 7 + 8 + 0 + 41 = 666.

It is not a de Polignac number, because 61725707878041 - 2¹ = 61725707878039 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 61725707878041.

It is not an unprimeable number, because it can be changed into a prime (61725707878061) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37028018290 + ... + 37028019956.

Almost surely, 2^{61725707878041} is an apocalyptic number.

61725707878041 is the 7856571-st square number.

61725707878041 is the 3928286-th centered octagonal number.

It is an amenable number.

61725707878041 is a deficient number, since it is larger than the sum of its proper divisors (27543988409692).

61725707878041 is an frugal number, since it uses more digits than its factorization.

61725707878041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6482 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 36879360, while the sum is 63.

The spelling of 61725707878041 in words is "sixty-one trillion, seven hundred twenty-five billion, seven hundred seven million, eight hundred seventy-eight thousand, forty-one".