501057602461 has 16 divisors (see below), whose sum is σ = 545071706928. Its totient is φ = 457827264000.

The previous prime is 501057602413. The next prime is 501057602509. The reversal of 501057602461 is 164206750105.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (501057602413) and next prime (501057602509).

It can be written as a sum of positive squares in 8 ways, for example, as 99095262436 + 401962340025 = 314794^2 + 634005^2 .

It is a cyclic number.

It is not a de Polignac number, because 501057602461 - 2⁹ = 501057601949 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 501057602461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501057602161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5809231 + ... + 5894851.

It is an arithmetic number, because the mean of its divisors is an integer number (34066981683).

Almost surely, 2^501057602461 is an apocalyptic number.

It is an amenable number.

501057602461 is a deficient number, since it is larger than the sum of its proper divisors (44014104467).

501057602461 is a wasteful number, since it uses less digits than its factorization.

501057602461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90192.

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 501057602461 in words is "five hundred one billion, fifty-seven million, six hundred two thousand, four hundred sixty-one".