101573820742725 has 72 divisors (see below), whose sum is σ = 196266325541832. Its totient is φ = 50024073216000.

The previous prime is 101573820742717. The next prime is 101573820742747. The reversal of 101573820742725 is 527247028375101.

101573820742725 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 7 + 3 + 8 + 207 + 427 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 12450742730721 + 89123078012004 = 3528561^2 + 9440502^2 .

It is not a de Polignac number, because 101573820742725 - 2³ = 101573820742717 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 250318476 + ... + 250723925.

It is an arithmetic number, because the mean of its divisors is an integer number (2725921188081).

Almost surely, 2^{101573820742725} is an apocalyptic number.

101573820742725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101573820742725 is a deficient number, since it is larger than the sum of its proper divisors (94692504799107).

101573820742725 is a wasteful number, since it uses less digits than its factorization.

101573820742725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501042487 (or 501042479 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 101573820742725 in words is "one hundred one trillion, five hundred seventy-three billion, eight hundred twenty million, seven hundred forty-two thousand, seven hundred twenty-five".