52777152 has 84 divisors (see below), whose sum is σ = 153939240. Its totient is φ = 17283072.

The previous prime is 52777103. The next prime is 52777171. The reversal of 52777152 is 25177725.

It is a super-2 number, since 2×52777152² = 5570855546462208, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33208 + ... + 34760.

It is an arithmetic number, because the mean of its divisors is an integer number (1832610).

Almost surely, 2^52777152 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 52777152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76969620).

52777152 is an abundant number, since it is smaller than the sum of its proper divisors (101162088).

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

52777152 is a wasteful number, since it uses less digits than its factorization.

52777152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1617 counting only the distinct ones).

The product of its digits is 34300, while the sum is 36.

The square root of 52777152 is about 7264.7885034597. The cubic root of 52777152 is about 375.1013699286.

The spelling of 52777152 in words is "fifty-two million, seven hundred seventy-seven thousand, one hundred fifty-two".