61537371257251 has 2 divisors, whose sum is σ = 61537371257252. Its totient is φ = 61537371257250.

The previous prime is 61537371257249. The next prime is 61537371257333. The reversal of 61537371257251 is 15275217373516.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 61537371257251 - 2¹ = 61537371257249 is a prime.

It is a super-3 number, since 3×61537371257251³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 61537371257249, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 61537371257192 and 61537371257201.

It is not a weakly prime, because it can be changed into another prime (61537371257651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30768685628625 + 30768685628626.

It is an arithmetic number, because the mean of its divisors is an integer number (30768685628626).

Almost surely, 2^{61537371257251} is an apocalyptic number.

61537371257251 is a deficient number, since it is larger than the sum of its proper divisors (1).

61537371257251 is an equidigital number, since it uses as much as digits as its factorization.

61537371257251 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9261000, while the sum is 55.

The spelling of 61537371257251 in words is "sixty-one trillion, five hundred thirty-seven billion, three hundred seventy-one million, two hundred fifty-seven thousand, two hundred fifty-one".