501475006201 has 81 divisors (see below), whose sum is σ = 595311080013. Its totient is φ = 422170107840.

The previous prime is 501475006183. The next prime is 501475006211. The reversal of 501475006201 is 102600574105.

The square root of 501475006201 is 708149.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 352651884025 + 148823122176 = 593845^2 + 385776^2 .

It is not a de Polignac number, because 501475006201 - 2¹¹ = 501475004153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (501475006211) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8220901711 + ... + 8220901771.

Almost surely, 2^501475006201 is an apocalyptic number.

501475006201 is the 708149-th square number.

501475006201 is the 354075-th centered octagonal number.

It is an amenable number.

501475006201 is a deficient number, since it is larger than the sum of its proper divisors (93836073812).

501475006201 is an equidigital number, since it uses as much as digits as its factorization.

501475006201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The spelling of 501475006201 in words is "five hundred one billion, four hundred seventy-five million, six thousand, two hundred one".