1010253861617 has 32 divisors (see below), whose sum is σ = 1362053409024. Its totient is φ = 723640780800.

The previous prime is 1010253861601. The next prime is 1010253861619. The reversal of 1010253861617 is 7161683520101.

It is not a de Polignac number, because 1010253861617 - 2⁴ = 1010253861601 is a prime.

It is a super-2 number, since 2×1010253861617² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010253861619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1852628 + ... + 2335109.

It is an arithmetic number, because the mean of its divisors is an integer number (42564169032).

Almost surely, 2^{1010253861617} is an apocalyptic number.

It is an amenable number.

1010253861617 is a deficient number, since it is larger than the sum of its proper divisors (351799547407).

1010253861617 is a wasteful number, since it uses less digits than its factorization.

1010253861617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188009.

The product of its (nonzero) digits is 60480, while the sum is 41.

The spelling of 1010253861617 in words is "one trillion, ten billion, two hundred fifty-three million, eight hundred sixty-one thousand, six hundred seventeen".