37201838647561 has 27 divisors (see below), whose sum is σ = 44218341584589. Its totient is φ = 31207153869528.

The previous prime is 37201838647537. The next prime is 37201838647651. The reversal of 37201838647561 is 16574683810273.

The square root of 37201838647561 is 6099331.

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

It is not a de Polignac number, because 37201838647561 - 2⁴⁵ = 2017466558729 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 37201838647561.

It is not an unprimeable number, because it can be changed into a prime (37201838647511) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2006670630 + ... + 2006689168.

Almost surely, 2^{37201838647561} is an apocalyptic number.

37201838647561 is the 6099331-st square number.

37201838647561 is the 3049666-th centered octagonal number.

It is an amenable number.

37201838647561 is a deficient number, since it is larger than the sum of its proper divisors (7016502937028).

37201838647561 is an frugal number, since it uses more digits than its factorization.

37201838647561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37186 (or 18593 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 61.

The spelling of 37201838647561 in words is "thirty-seven trillion, two hundred one billion, eight hundred thirty-eight million, six hundred forty-seven thousand, five hundred sixty-one".