1012625601849 has 27 divisors (see below), whose sum is σ = 1467787998703. Its totient is φ = 672735046704.

The previous prime is 1012625601811. The next prime is 1012625601853. The reversal of 1012625601849 is 9481065262101.

The square root of 1012625601849 is 1006293.

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

1012625601849 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 6 + 2 + 560 + 1 + 84 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 823452798249 + 189172803600 = 907443^2 + 434940^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1012625601849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012625601899) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1536609082 + ... + 1536609740.

Almost surely, 2^{1012625601849} is an apocalyptic number.

1012625601849 is the 1006293-rd square number.

1012625601849 is the 503147-th centered octagonal number.

It is an amenable number.

1012625601849 is a deficient number, since it is larger than the sum of its proper divisors (455162396854).

1012625601849 is an frugal number, since it uses more digits than its factorization.

1012625601849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1012625601849 in words is "one trillion, twelve billion, six hundred twenty-five million, six hundred one thousand, eight hundred forty-nine".