37280272561 has 9 divisors (see below), whose sum is σ = 43368419961. Its totient is φ = 31953360852.

The previous prime is 37280272559. The next prime is 37280272573. The reversal of 37280272561 is 16527208273.

The square root of 37280272561 is 193081.

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

It is not a de Polignac number, because 37280272561 - 2¹ = 37280272559 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37280272501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1337776 + ... + 1365358.

It is an arithmetic number, because the mean of its divisors is an integer number (4818713329).

Almost surely, 2^37280272561 is an apocalyptic number.

37280272561 is the 193081-st square number.

37280272561 is the 96541-st centered octagonal number.

It is an amenable number.

37280272561 is a deficient number, since it is larger than the sum of its proper divisors (6088147400).

37280272561 is an frugal number, since it uses more digits than its factorization.

37280272561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55180 (or 27590 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 37280272561 in words is "thirty-seven billion, two hundred eighty million, two hundred seventy-two thousand, five hundred sixty-one".