1007181925152 has 384 divisors, whose sum is σ = 3038868483840. Its totient is φ = 290325233664.

The previous prime is 1007181925111. The next prime is 1007181925199. The reversal of 1007181925152 is 2515291817001.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 830322498 + ... + 830323710.

It is an arithmetic number, because the mean of its divisors is an integer number (7913720010).

Almost surely, 2^{1007181925152} is an apocalyptic number.

1007181925152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007181925152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519434241920).

1007181925152 is an abundant number, since it is smaller than the sum of its proper divisors (2031686558688).

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

1007181925152 is a wasteful number, since it uses less digits than its factorization.

1007181925152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 42.

The spelling of 1007181925152 in words is "one trillion, seven billion, one hundred eighty-one million, nine hundred twenty-five thousand, one hundred fifty-two".