1002485971350 has 384 divisors, whose sum is σ = 2888965094400. Its totient is φ = 255390796800.

The previous prime is 1002485971303. The next prime is 1002485971379. The reversal of 1002485971350 is 531795842001.

1002485971350 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 4 + 8 + 597 + 1 + 3 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1002485971296 and 1002485971305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1218087039 + ... + 1218087861.

It is an arithmetic number, because the mean of its divisors is an integer number (7523346600).

Almost surely, 2^{1002485971350} is an apocalyptic number.

1002485971350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002485971350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444482547200).

1002485971350 is an abundant number, since it is smaller than the sum of its proper divisors (1886479123050).

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

1002485971350 is a wasteful number, since it uses less digits than its factorization.

1002485971350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1002485971350 in words is "one trillion, two billion, four hundred eighty-five million, nine hundred seventy-one thousand, three hundred fifty".