52777504 has 48 divisors (see below), whose sum is σ = 112539672. Its totient is φ = 24219648.

The previous prime is 52777493. The next prime is 52777507. The reversal of 52777504 is 40577725.

It can be written as a sum of positive squares in 4 ways, for example, as 39087504 + 13690000 = 6252^2 + 3700^2 .

It is a super-4 number, since 4×52777504⁴ (a number of 32 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (52777507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121672 + ... + 122104.

Almost surely, 2^52777504 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 52777504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56269836).

52777504 is an abundant number, since it is smaller than the sum of its proper divisors (59762168).

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

52777504 is a wasteful number, since it uses less digits than its factorization.

52777504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 68600, while the sum is 37.

The square root of 52777504 is about 7264.8127298644. The cubic root of 52777504 is about 375.1022038462.

The spelling of 52777504 in words is "fifty-two million, seven hundred seventy-seven thousand, five hundred four".