507742641 has 32 divisors (see below), whose sum is σ = 897054720. Its totient is φ = 277521552.

The previous prime is 507742607. The next prime is 507742657. The reversal of 507742641 is 146247705.

507742641 is a `hidden beast` number, since 5 + 0 + 7 + 7 + 4 + 2 + 641 = 666.

It is not a de Polignac number, because 507742641 - 2⁶ = 507742577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 507742596 and 507742605.

It is not an unprimeable number, because it can be changed into a prime (507742691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54055 + ... + 62748.

It is an arithmetic number, because the mean of its divisors is an integer number (28032960).

Almost surely, 2^507742641 is an apocalyptic number.

It is an amenable number.

507742641 is a deficient number, since it is larger than the sum of its proper divisors (389312079).

507742641 is a wasteful number, since it uses less digits than its factorization.

507742641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116842 (or 116836 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 507742641 is about 22533.1453862970. The cubic root of 507742641 is about 797.7764510342.

The spelling of 507742641 in words is "five hundred seven million, seven hundred forty-two thousand, six hundred forty-one".