1020302009958 has 64 divisors (see below), whose sum is σ = 2559364190208. Its totient is φ = 263426581920.

The previous prime is 1020302009939. The next prime is 1020302009959. The reversal of 1020302009958 is 8599002030201.

It is a super-3 number, since 3×1020302009958³ (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020302009959) 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, 6534960 + ... + 6689267.

It is an arithmetic number, because the mean of its divisors is an integer number (39990065472).

Almost surely, 2^{1020302009958} is an apocalyptic number.

1020302009958 is an abundant number, since it is smaller than the sum of its proper divisors (1539062180250).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020302009958 is a wasteful number, since it uses less digits than its factorization.

1020302009958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13224417.

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 1020302009958 in words is "one trillion, twenty billion, three hundred two million, nine thousand, nine hundred fifty-eight".