59697241507201 has 27 divisors (see below), whose sum is σ = 60741177823497. Its totient is φ = 58671183446400.

The previous prime is 59697241507157. The next prime is 59697241507219. The reversal of 59697241507201 is 10270514279695.

The square root of 59697241507201 is 7726399.

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 6891963815025 + 52805277692176 = 2625255^2 + 7266724^2 .

It is not a de Polignac number, because 59697241507201 - 2³⁷ = 59559802553729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (59697241507231) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 177143149705 + ... + 177143150041.

Almost surely, 2^{59697241507201} is an apocalyptic number.

59697241507201 is the 7726399-th square number.

59697241507201 is the 3863200-th centered octagonal number.

It is an amenable number.

59697241507201 is a deficient number, since it is larger than the sum of its proper divisors (1043936316296).

59697241507201 is an frugal number, since it uses more digits than its factorization.

59697241507201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 58.

The spelling of 59697241507201 in words is "fifty-nine trillion, six hundred ninety-seven billion, two hundred forty-one million, five hundred seven thousand, two hundred one".