53025193984 has 135 divisors (see below), whose sum is σ = 123842843733. Its totient is φ = 22636658688.

The previous prime is 53025193967. The next prime is 53025194011. The reversal of 53025193984 is 48939152035.

The square root of 53025193984 is 230272.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 52203110400 + 822083584 = 228480^2 + 28672^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 206323584 + ... + 206323840.

Almost surely, 2^53025193984 is an apocalyptic number.

53025193984 is the 230272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53025193984

53025193984 is an abundant number, since it is smaller than the sum of its proper divisors (70817649749).

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

53025193984 is an frugal number, since it uses more digits than its factorization.

53025193984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

Multiplying 53025193984 by its sum of digits (49), we get a square (2598234505216 = 1611904²).

53025193984 divided by its sum of digits (49) gives a square (1082146816 = 32896²).

It can be divided in two parts, 53025 and 193984, that added together give a square (247009 = 497²).

The spelling of 53025193984 in words is "fifty-three billion, twenty-five million, one hundred ninety-three thousand, nine hundred eighty-four".