1007057142 has 72 divisors (see below), whose sum is σ = 2700298224. Its totient is φ = 265591872.

The previous prime is 1007057137. The next prime is 1007057147. The reversal of 1007057142 is 2417507001.

It is an interprime number because it is at equal distance from previous prime (1007057137) and next prime (1007057147).

It is a super-3 number, since 3×1007057142³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007057147) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2353 + ... + 44940.

It is an arithmetic number, because the mean of its divisors is an integer number (37504142).

Almost surely, 2^1007057142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007057142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350149112).

1007057142 is an abundant number, since it is smaller than the sum of its proper divisors (1693241082).

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

1007057142 is a wasteful number, since it uses less digits than its factorization.

1007057142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47334 (or 47318 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 1007057142 is about 31734.1636410982. The cubic root of 1007057142 is about 1002.3468685659.

The spelling of 1007057142 in words is "one billion, seven million, fifty-seven thousand, one hundred forty-two".