51001456 has 40 divisors (see below), whose sum is σ = 108461808. Its totient is φ = 23040000.

The previous prime is 51001441. The next prime is 51001469. The reversal of 51001456 is 65410015.

It is a super-2 number, since 2×51001456² = 5202297028239872, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31056 + ... + 32656.

Almost surely, 2^51001456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51001456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54230904).

51001456 is an abundant number, since it is smaller than the sum of its proper divisors (57460352).

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

51001456 is a wasteful number, since it uses less digits than its factorization.

51001456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 51001456 is about 7141.5303682054. The cubic root of 51001456 is about 370.8465059608.

It can be divided in two parts, 5100 and 1456, that added together give a palindrome (6556).

The spelling of 51001456 in words is "fifty-one million, one thousand, four hundred fifty-six".