614106131261 has 48 divisors (see below), whose sum is σ = 740934116208. Its totient is φ = 507219148800.

The previous prime is 614106131257. The next prime is 614106131269. The reversal of 614106131261 is 162131601416.

It can be written as a sum of positive squares in 8 ways, for example, as 3723318361 + 610382812900 = 61019^2 + 781270^2 .

It is not a de Polignac number, because 614106131261 - 2² = 614106131257 is a prime.

It is a super-2 number, since 2×614106131261² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (614106131269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45682301 + ... + 45695741.

It is an arithmetic number, because the mean of its divisors is an integer number (15436127421).

Almost surely, 2^614106131261 is an apocalyptic number.

It is an amenable number.

614106131261 is a deficient number, since it is larger than the sum of its proper divisors (126827984947).

614106131261 is a wasteful number, since it uses less digits than its factorization.

614106131261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13822 (or 13815 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

Adding to 614106131261 its reverse (162131601416), we get a palindrome (776237732677).

The spelling of 614106131261 in words is "six hundred fourteen billion, one hundred six million, one hundred thirty-one thousand, two hundred sixty-one".