51507900 has 90 divisors (see below), whose sum is σ = 166994520. Its totient is φ = 13733280.

The previous prime is 51507887. The next prime is 51507901. The reversal of 51507900 is 970515.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51507901) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4921 + ... + 11279.

Almost surely, 2^51507900 is an apocalyptic number.

51507900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51507900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83497260).

51507900 is an abundant number, since it is smaller than the sum of its proper divisors (115486620).

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

51507900 is a wasteful number, since it uses less digits than its factorization.

51507900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6385 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 51507900 is about 7176.9004451783. The cubic root of 51507900 is about 372.0699660283.

The spelling of 51507900 in words is "fifty-one million, five hundred seven thousand, nine hundred".