15400561801 has 9 divisors (see below), whose sum is σ = 15504884199. Its totient is φ = 15296939136.

The previous prime is 15400561753. The next prime is 15400561831. The reversal of 15400561801 is 10816500451.

The square root of 15400561801 is 124099.

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., 3731377225 + 11669184576 = 61085^2 + 108024^2 .

It is not a de Polignac number, because 15400561801 - 2²³ = 15392173193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15400561831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23950786 + ... + 23951428.

It is an arithmetic number, because the mean of its divisors is an integer number (1722764911).

Almost surely, 2^15400561801 is an apocalyptic number.

15400561801 is the 124099-th square number.

15400561801 is the 62050-th centered octagonal number.

It is an amenable number.

15400561801 is a deficient number, since it is larger than the sum of its proper divisors (104322398).

15400561801 is an frugal number, since it uses more digits than its factorization.

15400561801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 31.

The spelling of 15400561801 in words is "fifteen billion, four hundred million, five hundred sixty-one thousand, eight hundred one".