2547648137 has 2 divisors, whose sum is σ = 2547648138. Its totient is φ = 2547648136.

The previous prime is 2547648121. The next prime is 2547648151. The reversal of 2547648137 is 7318467452.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2527676176 + 19971961 = 50276^2 + 4469^2 .

It is a cyclic number.

It is not a de Polignac number, because 2547648137 - 2⁴ = 2547648121 is a prime.

It is a super-2 number, since 2×2547648137² = 12981022059919141538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2547648091 and 2547648100.

It is not a weakly prime, because it can be changed into another prime (2547648157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1273824068 + 1273824069.

It is an arithmetic number, because the mean of its divisors is an integer number (1273824069).

Almost surely, 2^2547648137 is an apocalyptic number.

It is an amenable number.

2547648137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2547648137 is an equidigital number, since it uses as much as digits as its factorization.

2547648137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1128960, while the sum is 47.

The square root of 2547648137 is about 50474.2324062486. The cubic root of 2547648137 is about 1365.7770646503. Note that the first 3 decimals are identical.

The spelling of 2547648137 in words is "two billion, five hundred forty-seven million, six hundred forty-eight thousand, one hundred thirty-seven".