51417952254 has 80 divisors (see below), whose sum is σ = 116534447568. Its totient is φ = 16943344128.

The previous prime is 51417952253. The next prime is 51417952301. The reversal of 51417952254 is 45225971415.

51417952254 is a `hidden beast` number, since 5 + 1 + 4 + 1 + 79 + 522 + 54 = 666.

It is a super-3 number, since 3×51417952254³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51417952253) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22422732 + ... + 22425024.

Almost surely, 2^51417952254 is an apocalyptic number.

51417952254 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51417952254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58267223784).

51417952254 is an abundant number, since it is smaller than the sum of its proper divisors (65116495314).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51417952254 is a wasteful number, since it uses less digits than its factorization.

51417952254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3831 (or 3822 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 51417952254 in words is "fifty-one billion, four hundred seventeen million, nine hundred fifty-two thousand, two hundred fifty-four".