51009430461 has 48 divisors (see below), whose sum is σ = 80337200832. Its totient is φ = 28661783040.

The previous prime is 51009430387. The next prime is 51009430477. The reversal of 51009430461 is 16403490015.

It is not a de Polignac number, because 51009430461 - 2¹⁸ = 51009168317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51009430481) 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 47 ways as a sum of consecutive naturals, for example, 351771 + ... + 475143.

It is an arithmetic number, because the mean of its divisors is an integer number (1673691684).

Almost surely, 2^51009430461 is an apocalyptic number.

51009430461 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

51009430461 is a deficient number, since it is larger than the sum of its proper divisors (29327770371).

51009430461 is a wasteful number, since it uses less digits than its factorization.

51009430461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123482 (or 123471 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 51009430461 in words is "fifty-one billion, nine million, four hundred thirty thousand, four hundred sixty-one".