1005010100052 has 24 divisors (see below), whose sum is σ = 2680026933696. Its totient is φ = 287145742848.

The previous prime is 1005010100051. The next prime is 1005010100089. The reversal of 1005010100052 is 2500010105001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005010100051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5982202893 + ... + 5982203060.

It is an arithmetic number, because the mean of its divisors is an integer number (111667788904).

Almost surely, 2^{1005010100052} is an apocalyptic number.

1005010100052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005010100052 is an abundant number, since it is smaller than the sum of its proper divisors (1675016833644).

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

1005010100052 is a wasteful number, since it uses less digits than its factorization.

1005010100052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11964405967 (or 11964405965 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

Adding to 1005010100052 its reverse (2500010105001), we get a palindrome (3505020205053).

The spelling of 1005010100052 in words is "one trillion, five billion, ten million, one hundred thousand, fifty-two".