53691300 has 162 divisors, whose sum is σ = 182750022. Its totient is φ = 13178880.

The previous prime is 53691299. The next prime is 53691367. The reversal of 53691300 is 319635.

It can be written as a sum of positive squares in 9 ways, for example, as 36650916 + 17040384 = 6054^2 + 4128^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 151924 + ... + 152276.

Almost surely, 2^53691300 is an apocalyptic number.

53691300 is a gapful number since it is divisible by the number (50) 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 53691300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91375011).

53691300 is an abundant number, since it is smaller than the sum of its proper divisors (129058722).

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

53691300 is a wasteful number, since it uses less digits than its factorization.

53691300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 53691300 is about 7327.4347489418. The cubic root of 53691300 is about 377.2546832403.

The spelling of 53691300 in words is "fifty-three million, six hundred ninety-one thousand, three hundred".