61442015625 has 63 divisors (see below), whose sum is σ = 111103636449. Its totient is φ = 32719500000.

The previous prime is 61442015623. The next prime is 61442015633. The reversal of 61442015625 is 52651024416.

The square root of 61442015625 is 247875.

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

61442015625 is a `hidden beast` number, since 6 + 1 + 4 + 4 + 20 + 1 + 5 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 60682902921 + 759112704 = 246339^2 + 27552^2 .

It is not a de Polignac number, because 61442015625 - 2¹ = 61442015623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61442015625.

It is not an unprimeable number, because it can be changed into a prime (61442015623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 92952795 + ... + 92953455.

Almost surely, 2^61442015625 is an apocalyptic number.

61442015625 is the 247875-th square number.

61442015625 is the 123938-th centered octagonal number.

It is an amenable number.

61442015625 is a deficient number, since it is larger than the sum of its proper divisors (49661620824).

61442015625 is an frugal number, since it uses more digits than its factorization.

61442015625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 61442015625 by its sum of digits (36), we get a square (2211912562500 = 1487250²).

The spelling of 61442015625 in words is "sixty-one billion, four hundred forty-two million, fifteen thousand, six hundred twenty-five".