59926550401 has 9 divisors (see below), whose sum is σ = 61363380099. Its totient is φ = 58522628136.

The previous prime is 59926550381. The next prime is 59926550413. The reversal of 59926550401 is 10405562995.

The square root of 59926550401 is 244799.

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

It can be written as a sum of positive squares in only one way, i.e., 7359066225 + 52567484176 = 85785^2 + 229276^2 .

It is not a de Polignac number, because 59926550401 - 2⁷ = 59926550273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (59926550441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10523511 + ... + 10529203.

Almost surely, 2^59926550401 is an apocalyptic number.

59926550401 is the 244799-th square number.

59926550401 is the 122400-th centered octagonal number.

It is an amenable number.

59926550401 is a deficient number, since it is larger than the sum of its proper divisors (1436829698).

59926550401 is an frugal number, since it uses more digits than its factorization.

59926550401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11472 (or 5736 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 46.

The spelling of 59926550401 in words is "fifty-nine billion, nine hundred twenty-six million, five hundred fifty thousand, four hundred one".