51379164 has 48 divisors (see below), whose sum is σ = 133758240. Its totient is φ = 17055360.

The previous prime is 51379129. The next prime is 51379169. The reversal of 51379164 is 46197315.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51379169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29502 + ... + 31194.

It is an arithmetic number, because the mean of its divisors is an integer number (2786630).

Almost surely, 2^51379164 is an apocalyptic number.

51379164 is a gapful number since it is divisible by the number (54) 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 51379164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66879120).

51379164 is an abundant number, since it is smaller than the sum of its proper divisors (82379076).

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

51379164 is a wasteful number, since it uses less digits than its factorization.

51379164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1979 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 51379164 is about 7167.9260598865. The cubic root of 51379164 is about 371.7597303825.

The spelling of 51379164 in words is "fifty-one million, three hundred seventy-nine thousand, one hundred sixty-four".