31190337298561 has 9 divisors (see below), whose sum is σ = 36282682742211. Its totient is φ = 26734541318352.

The previous prime is 31190337298543. The next prime is 31190337298579. The reversal of 31190337298561 is 16589273309113.

The square root of 31190337298561 is 5584831.

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

It is an interprime number because it is at equal distance from previous prime (31190337298543) and next prime (31190337298579).

It can be written as a sum of positive squares in only one way, i.e., 10219945828225 + 20970391470336 = 3196865^2 + 4579344^2 .

It is not a de Polignac number, because 31190337298561 - 2¹³ = 31190337290369 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31190337298496 and 31190337298505.

It is not an unprimeable number, because it can be changed into a prime (31190337290561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38694901 + ... + 39492733.

It is an arithmetic number, because the mean of its divisors is an integer number (4031409193579).

Almost surely, 2^{31190337298561} is an apocalyptic number.

31190337298561 is the 5584831-st square number.

31190337298561 is the 2792416-th centered octagonal number.

It is an amenable number.

31190337298561 is a deficient number, since it is larger than the sum of its proper divisors (5092345443650).

31190337298561 is an frugal number, since it uses more digits than its factorization.

31190337298561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595680 (or 797840 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 58.

The spelling of 31190337298561 in words is "thirty-one trillion, one hundred ninety billion, three hundred thirty-seven million, two hundred ninety-eight thousand, five hundred sixty-one".