61501155705057 has 64 divisors (see below), whose sum is σ = 84092064731136. Its totient is φ = 39972005176320.

The previous prime is 61501155705053. The next prime is 61501155705107. The reversal of 61501155705057 is 75050755110516.

It is a happy number.

61501155705057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61501155705057 - 2² = 61501155705053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61501155704997 and 61501155705015.

It is not an unprimeable number, because it can be changed into a prime (61501155705053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21632483878 + ... + 21632486720.

It is an arithmetic number, because the mean of its divisors is an integer number (1313938511424).

Almost surely, 2^{61501155705057} is an apocalyptic number.

It is an amenable number.

61501155705057 is a deficient number, since it is larger than the sum of its proper divisors (22590909026079).

61501155705057 is a wasteful number, since it uses less digits than its factorization.

61501155705057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6150.

The product of its (nonzero) digits is 918750, while the sum is 48.

The spelling of 61501155705057 in words is "sixty-one trillion, five hundred one billion, one hundred fifty-five million, seven hundred five thousand, fifty-seven".