51053854401 has 81 divisors (see below), whose sum is σ = 83583682819. Its totient is φ = 30006292800.

The previous prime is 51053854393. The next prime is 51053854421. The reversal of 51053854401 is 10445835015.

The square root of 51053854401 is 225951.

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

51053854401 is a `hidden beast` number, since 5 + 105 + 3 + 8 + 544 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2460060801 + 48593793600 = 49599^2 + 220440^2 .

It is not a de Polignac number, because 51053854401 - 2³ = 51053854393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51053854421) 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, 305711620 + ... + 305711786.

Almost surely, 2^51053854401 is an apocalyptic number.

51053854401 is the 225951-st square number.

51053854401 is the 112976-th centered octagonal number.

It is an amenable number.

51053854401 is a deficient number, since it is larger than the sum of its proper divisors (32529828418).

51053854401 is a wasteful number, since it uses less digits than its factorization.

51053854401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Multiplying 51053854401 by its sum of digits (36), we get a square (1837938758436 = 1355706²).

The spelling of 51053854401 in words is "fifty-one billion, fifty-three million, eight hundred fifty-four thousand, four hundred one".