55319510401 has 9 divisors (see below), whose sum is σ = 58389020001. Its totient is φ = 52403723604.

The previous prime is 55319510387. The next prime is 55319510419. The reversal of 55319510401 is 10401591355.

The square root of 55319510401 is 235201.

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

It is not a de Polignac number, because 55319510401 - 2⁷ = 55319510273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55319510471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4462630 + ... + 4475008.

It is an arithmetic number, because the mean of its divisors is an integer number (6487668889).

Almost surely, 2^55319510401 is an apocalyptic number.

55319510401 is the 235201-st square number.

55319510401 is the 117601-st centered octagonal number.

It is an amenable number.

55319510401 is a deficient number, since it is larger than the sum of its proper divisors (3069509600).

55319510401 is an frugal number, since it uses more digits than its factorization.

55319510401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24796 (or 12398 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 34.

The spelling of 55319510401 in words is "fifty-five billion, three hundred nineteen million, five hundred ten thousand, four hundred one".