53187849 has 81 divisors (see below), whose sum is σ = 97136949. Its totient is φ = 28005120.

The previous prime is 53187839. The next prime is 53187853. The reversal of 53187849 is 94878135.

53187849 = 216² + 217² + ... + 553².

The square root of 53187849 is 7293.

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

53187849 is a `hidden beast` number, since 531 + 8 + 78 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 480249 + 52707600 = 693^2 + 7260^2 .

It is not a de Polignac number, because 53187849 - 2⁷ = 53187721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53187809) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3128689 + ... + 3128705.

Almost surely, 2^53187849 is an apocalyptic number.

53187849 is the 7293-rd square number.

53187849 is the 3647-th centered octagonal number.

It is an amenable number.

53187849 is a deficient number, since it is larger than the sum of its proper divisors (43949100).

53187849 is a wasteful number, since it uses less digits than its factorization.

53187849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 44 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The cubic root of 53187849 is about 376.0718348679.

The spelling of 53187849 in words is "fifty-three million, one hundred eighty-seven thousand, eight hundred forty-nine".