1010505252354 has 128 divisors (see below), whose sum is σ = 2328474624000. Its totient is φ = 289772391168.

The previous prime is 1010505252283. The next prime is 1010505252371. The reversal of 1010505252354 is 4532525050101.

It is a super-2 number, since 2×1010505252354² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32415027 + ... + 32446185.

It is an arithmetic number, because the mean of its divisors is an integer number (18191208000).

Almost surely, 2^{1010505252354} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010505252354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164237312000).

1010505252354 is an abundant number, since it is smaller than the sum of its proper divisors (1317969371646).

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

1010505252354 is a wasteful number, since it uses less digits than its factorization.

1010505252354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31552.

The product of its (nonzero) digits is 30000, while the sum is 33.

The spelling of 1010505252354 in words is "one trillion, ten billion, five hundred five million, two hundred fifty-two thousand, three hundred fifty-four".