52100973 has 12 divisors (see below), whose sum is σ = 75364380. Its totient is φ = 34684416.

The previous prime is 52100899. The next prime is 52100977. The reversal of 52100973 is 37900125.

It can be written as a sum of positive squares in 2 ways, for example, as 12938409 + 39162564 = 3597^2 + 6258^2 .

It is not a de Polignac number, because 52100973 - 2²² = 47906669 is a prime.

It is a super-2 number, since 2×52100973² = 5429022775093458, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52100977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3213 + ... + 10701.

It is an arithmetic number, because the mean of its divisors is an integer number (6280365).

Almost surely, 2^52100973 is an apocalyptic number.

It is an amenable number.

52100973 is a deficient number, since it is larger than the sum of its proper divisors (23263407).

52100973 is a wasteful number, since it uses less digits than its factorization.

52100973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8268 (or 8265 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 52100973 is about 7218.1003733669. The cubic root of 52100973 is about 373.4925510469.

It can be divided in two parts, 52 and 100973, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 52100973 in words is "fifty-two million, one hundred thousand, nine hundred seventy-three".