1351742828562 has 768 divisors, whose sum is σ = 3919510425600. Its totient is φ = 342921600000.

The previous prime is 1351742828551. The next prime is 1351742828573. The reversal of 1351742828562 is 2658282471531.

It is a happy number.

1351742828562 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 74 + 2 + 8 + 2 + 8 + 562 = 666.

It is an interprime number because it is at equal distance from previous prime (1351742828551) and next prime (1351742828573).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1351742828499 and 1351742828508.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8951939187 + ... + 8951939337.

It is an arithmetic number, because the mean of its divisors is an integer number (5103529200).

Almost surely, 2^{1351742828562} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351742828562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959755212800).

1351742828562 is an abundant number, since it is smaller than the sum of its proper divisors (2567767597038).

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

1351742828562 is a wasteful number, since it uses less digits than its factorization.

1351742828562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 367 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 1351742828562 in words is "one trillion, three hundred fifty-one billion, seven hundred forty-two million, eight hundred twenty-eight thousand, five hundred sixty-two".