1006354152 has 128 divisors (see below), whose sum is σ = 2954880000. Its totient is φ = 316467648.

The previous prime is 1006354127. The next prime is 1006354207. The reversal of 1006354152 is 2514536001.

1006354152 is a `hidden beast` number, since 10 + 0 + 63 + 541 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1555093 + ... + 1555739.

It is an arithmetic number, because the mean of its divisors is an integer number (23085000).

Almost surely, 2^1006354152 is an apocalyptic number.

1006354152 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 1006354152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477440000).

1006354152 is an abundant number, since it is smaller than the sum of its proper divisors (1948525848).

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

1006354152 is a wasteful number, since it uses less digits than its factorization.

1006354152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1006354152 is about 31723.0854741464. The cubic root of 1006354152 is about 1002.1135802977.

The spelling of 1006354152 in words is "one billion, six million, three hundred fifty-four thousand, one hundred fifty-two".