61294611825 has 36 divisors (see below), whose sum is σ = 109930032108. Its totient is φ = 32647411200.

The previous prime is 61294611803. The next prime is 61294611869. The reversal of 61294611825 is 52811649216.

61294611825 is a `hidden beast` number, since 6 + 1 + 2 + 9 + 4 + 611 + 8 + 25 = 666.

61294611825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 13810715361 + 47483896464 = 117519^2 + 217908^2 .

It is not a de Polignac number, because 61294611825 - 2⁵ = 61294611793 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7764 + ... + 350213.

It is an arithmetic number, because the mean of its divisors is an integer number (3053612003).

Almost surely, 2^61294611825 is an apocalyptic number.

It is an amenable number.

61294611825 is a deficient number, since it is larger than the sum of its proper divisors (48635420283).

61294611825 is a wasteful number, since it uses less digits than its factorization.

61294611825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358754 (or 358746 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

Subtracting from 61294611825 its reverse (52811649216), we obtain a square (8482962609 = 92103²).

The spelling of 61294611825 in words is "sixty-one billion, two hundred ninety-four million, six hundred eleven thousand, eight hundred twenty-five".