51301797001 has 81 divisors (see below), whose sum is σ = 68726030823. Its totient is φ = 38160551520.

The previous prime is 51301796993. The next prime is 51301797011. The reversal of 51301797001 is 10079710315.

The square root of 51301797001 is 226499.

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., 7589023225 + 43712773776 = 87115^2 + 209076^2 .

It is not a de Polignac number, because 51301797001 - 2³ = 51301796993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51301797011) 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 80 ways as a sum of consecutive naturals, for example, 391616706 + ... + 391616836.

Almost surely, 2^51301797001 is an apocalyptic number.

51301797001 is the 226499-th square number.

51301797001 is the 113250-th centered octagonal number.

It is an amenable number.

51301797001 is a deficient number, since it is larger than the sum of its proper divisors (17424233822).

51301797001 is a wasteful number, since it uses less digits than its factorization.

51301797001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 6615, while the sum is 34.

The spelling of 51301797001 in words is "fifty-one billion, three hundred one million, seven hundred ninety-seven thousand, one".