1958102641 has 32 divisors (see below), whose sum is σ = 2260855296. Its totient is φ = 1679616000.

The previous prime is 1958102563. The next prime is 1958102701. The reversal of 1958102641 is 1462018591.

It is a 3-Lehmer number, since φ(1958102641) divides (1958102641-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 1958102641 - 2¹¹ = 1958100593 is a prime.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R_1958102640.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1958102641.

It is not an unprimeable number, because it can be changed into a prime (1958106641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4521961 + ... + 4522393.

It is an arithmetic number, because the mean of its divisors is an integer number (70651728).

It is a Poulet number, since it divides 2^1958102640-1.

Almost surely, 2^1958102641 is an apocalyptic number.

1958102641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1958102641 is a deficient number, since it is larger than the sum of its proper divisors (302752655).

1958102641 is a wasteful number, since it uses less digits than its factorization.

1958102641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793.

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 1958102641 is about 44250.4535682969. The cubic root of 1958102641 is about 1251.0609959220.

The spelling of 1958102641 in words is "one billion, nine hundred fifty-eight million, one hundred two thousand, six hundred forty-one".