2735137130625 has 45 divisors (see below), whose sum is σ = 4937085633909. Its totient is φ = 1458673650000.

The previous prime is 2735137130623. The next prime is 2735137130629. The reversal of 2735137130625 is 5260317315372.

The square root of 2735137130625 is 1653825.

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

2735137130625 is a `hidden beast` number, since 2 + 7 + 3 + 5 + 1 + 3 + 7 + 13 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 214434751041 + 2520702379584 = 463071^2 + 1587672^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2735137130625 - 2¹ = 2735137130623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2735137130623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 124025850 + ... + 124047900.

Almost surely, 2^{2735137130625} is an apocalyptic number.

2735137130625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2735137130625 is the 1653825-th square number.

2735137130625 is the 826913-rd centered octagonal number.

It is an amenable number.

2735137130625 is a deficient number, since it is larger than the sum of its proper divisors (2201948503284).

2735137130625 is an frugal number, since it uses more digits than its factorization.

2735137130625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44128 (or 22059 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 2735137130625 in words is "two trillion, seven hundred thirty-five billion, one hundred thirty-seven million, one hundred thirty thousand, six hundred twenty-five".