5155096401 has 81 divisors (see below), whose sum is σ = 9415323099. Its totient is φ = 2708832672.

The previous prime is 5155096391. The next prime is 5155096433. The reversal of 5155096401 is 1046905515.

The square root of 5155096401 is 71799.

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

5155096401 is a `hidden beast` number, since 5 + 1 + 5 + 5 + 0 + 9 + 640 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 762588225 + 4392508176 = 27615^2 + 66276^2 .

It is not a de Polignac number, because 5155096401 - 2⁵ = 5155096369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5155096451) 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, 19600996 + ... + 19601258.

Almost surely, 2^5155096401 is an apocalyptic number.

5155096401 is the 71799-th square number.

5155096401 is the 35900-th centered octagonal number.

It is an amenable number.

5155096401 is a deficient number, since it is larger than the sum of its proper divisors (4260226698).

5155096401 is a wasteful number, since it uses less digits than its factorization.

5155096401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The cubic root of 5155096401 is about 1727.4769597951.

Multiplying 5155096401 by its sum of digits (36), we get a square (185583470436 = 430794²).

The spelling of 5155096401 in words is "five billion, one hundred fifty-five million, ninety-six thousand, four hundred one".